LCM of 580, 656, 820, 321, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 656, 820, 321, 204 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 580, 656, 820, 321, 204. So, keep reading to learn more.
Given numbers are 580,656,820,321,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,656,820,321,204 is 519069840.
Find LCM of 580,656,820,321,204 with Prime Factorization
| 2 | 580, 656, 820, 321, 204 |
| 2 | 290, 328, 410, 321, 102 |
| 3 | 145, 164, 205, 321, 51 |
| 5 | 145, 164, 205, 107, 17 |
| 41 | 29, 164, 41, 107, 17 |
| 29, 4, 1, 107, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 29 x 4 x 1 x 107 x 17 = 519069840
Therefore, the lowest common multiple of 580,656,820,321,204 is 519069840.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
580 x 656 x 820 x 321 x 204 = 20430588902400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
321 : 1, 3, 107, 321
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,656,820,321,204, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
656:2x 2x 2x 2x 41
820:2x 2x 5x 41
321:3x 107
204:2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 5x 41 = 39360
Therefore, the value for common factors is 39360.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 20430588902400/(1x39360)
LCM = 20430588902400/39360
LCM = 519069840
Thus, we can understand that the LCM of 580,656,820,321,204 is 519069840.
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FAQs on LCM of 580, 656, 820, 321, 204
1. What is the LCM of 580, 656, 820, 321, 204?
Answer: LCM of 580, 656, 820, 321, 204 is 519069840.
2. How to calculate the LCM of 580, 656, 820, 321, 204?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 580, 656, 820, 321, 204.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.